Question

the city wants to build a rectangular playground with an area of 1000 square feet or more. the length is 40 feet long. what are the requirements for the width of the playground ?

Answer 1

Answer: The width must be 25 feet or larger.

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Explanation:

x = width of the playground

x is some number which we don't know. Its basically a placeholder of sorts.

Multiply the width x by the length 40 to get x*40 = 40x

The area of the playground as an algebraic expression is 40x

We want this expression to be 1000 or larger, so we write this inequality $40x \ge 1000$ (40x is greater than or equal to 1000)

Divide both sides by 40 and we end up with....

$40x \ge 1000$

$\frac{40x}{40} \ge \frac{1000}{40}$

$x \ge 25$

So x can be equal to 25, or it can be larger than 25.

In short, x must be at least 25 feet